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Simplifying 3x + 4(2x + -1) = -2x + 6 + 12x Reorder the terms: 3x + 4(-1 + 2x) = -2x + 6 + 12x 3x + (-1 * 4 + 2x * 4) = -2x + 6 + 12x 3x + (-4 + 8x) = -2x + 6 + 12x Reorder the terms: -4 + 3x + 8x = -2x + 6 + 12x Combine like terms: 3x + 8x = 11x -4 + 11x = -2x + 6 + 12x Reorder the terms: -4 + 11x = 6 + -2x + 12x Combine like terms: -2x + 12x = 10x -4 + 11x = 6 + 10x Solving -4 + 11x = 6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -4 + 11x + -10x = 6 + 10x + -10x Combine like terms: 11x + -10x = 1x -4 + 1x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -4 + 1x = 6 + 0 -4 + 1x = 6 Add '4' to each side of the equation. -4 + 4 + 1x = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 6 + 4 1x = 6 + 4 Combine like terms: 6 + 4 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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